![Slope= \frac{y_2-y_1}{x_2-x_1} = \frac{-\frac{9}{2} - (-1)}{-2- (-\frac{5}{3})}=\frac{ - \frac{9}{2} + 1}{-2 + \frac{5}{3}} \\= \frac{ - \frac{7}{2}}{ - \frac{1}{3}} \\= \frac{ - \frac{7}{2}\cdot6}{ - \frac{1}{3}\cdot6} \\=\frac{-21}{ -2} \\ =\boxed{\bf{ \frac{21}{2}}}](https://tex.z-dn.net/?f=Slope%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%3D%20%5Cfrac%7B-%5Cfrac%7B9%7D%7B2%7D%20-%20%28-1%29%7D%7B-2-%20%28-%5Cfrac%7B5%7D%7B3%7D%29%7D%3D%5Cfrac%7B%20-%20%5Cfrac%7B9%7D%7B2%7D%20%2B%20%201%7D%7B-2%20%2B%20%20%20%5Cfrac%7B5%7D%7B3%7D%7D%20%5C%5C%3D%20%20%5Cfrac%7B%20-%20%5Cfrac%7B7%7D%7B2%7D%7D%7B%20-%20%5Cfrac%7B1%7D%7B3%7D%7D%20%5C%5C%3D%20%5Cfrac%7B%20-%20%5Cfrac%7B7%7D%7B2%7D%5Ccdot6%7D%7B%20-%20%5Cfrac%7B1%7D%7B3%7D%5Ccdot6%7D%20%5C%5C%3D%5Cfrac%7B-21%7D%7B%20-2%7D%20%20%5C%5C%20%20%3D%5Cboxed%7B%5Cbf%7B%20%5Cfrac%7B21%7D%7B2%7D%7D%7D)
So... none of your answers are correct. The correct answer is
21/2.
This is an equation in STANDARD form for a circle:
(x-h)^2 + (y-k)^2 = r^2
The values of (h, k) are the center point of the circle. When they are put into an equation, their symbols flip as in, if they are positive on a graph, they become negative in the equation and vice versa.
The value (r) is the radius and is squared in the equation. In this case, the square root of 1 is 1.
(x)^2 + (y-6)^2 = 1
Answer:
x = 1.2375 or 99/90
Step-by-step explanation:
<u>Step 1: Distribute</u>
21 + 40(2x - 3)
21 + 80x - 120
<u>Step 2: Combine like terms</u>
21 + 80x - 120
80x - 99
<u>Step 3: Solve for x</u>
80x - 99 + 99 = 0 + 99
80x / 80 = 99 / 80
x = 1.2375
Answer: x = 1.2375 or 99/80
Answer:
it's a very easy one and it's answer is 1728
I think it might be f^-1 (x) = x/2 - 3/2
I hope this helps!